Question

Identify an inequality you can use to find the possible values of X. Perimeter <51.3 inches

Answer 1

Let's first get the value of x, since it's a right triangle, we use Pythagorean Theorem.

Let's make,

a = 14.2

b = 15.5

c = x

$a^2+b^2=c^2$$(14.2)^2+(15.5)^2=x^2$$\text{ x = }\sqrt[]{14.2^2+15.5^2}$$\text{ x = 21.02}$

Let's try choice c if the inequality fits,

$14.2\text{ }+\text{ 15.5 + x }<\text{ }51.3$$14.2\text{ }+\text{ 15.5 + 21.02 }<\text{ 51.3}$$50.72\text{ }<\text{ 51.3}$

The inequality fits, therefore c is the correct answer.